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Finding the Fourth Proportional to 215,953.84, 298,022.61 and 120,458.47

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Solution

The fourth proportional to 215,953.84, 298,022.61 and 120,458.47 is: 166,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,953.84 : 298,022.61 = 120,458.47 : x
  2. Step 2: Convert to fraction form
    215,953.84/298,022.61 = 120,458.47/x
  3. Step 3: Cross multiply
    215,953.84x = 298,022.61 × 120,458.47
  4. Step 4: Simplify right side
    215,953.84x = 35,899,347,626.01
  5. Step 5: Solve for x
    x = 35,899,347,626.01/215,953.84
  6. Step 6: Final answer
    x = 166,236.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.